Research article

Some Convolution Properties of Multivalent Analytic Functions

  • Received: 31 December 2016 Accepted: 18 April 2017 Published: 25 April 2017
  • In this paper, we introduce a new subclass of multivalent functions associated with conic domain in an open unit disk. We study some convolution properties, su cient condition for the functions belonging to this new class.

    Citation: Nazar Khan, Bilal Khan, Qazi Zahoor Ahmad, Sarfraz Ahmad. Some Convolution Properties of Multivalent Analytic Functions[J]. AIMS Mathematics, 2017, 2(2): 260-268. doi: 10.3934/Math.2017.2.260

    Related Papers:

  • In this paper, we introduce a new subclass of multivalent functions associated with conic domain in an open unit disk. We study some convolution properties, su cient condition for the functions belonging to this new class.


    加载中
    [1] L. Fejer, Uber die positivitat von summen, die nach trigonometrischen order Legendreschen funktionen fortschreiten, Acta Litt. Ac. Sci. Szeged., 2 (1925), 75-86.
    [2] A. W. Goodman, On uniformly convex functions, Ann. Polon. Math., 56 (1991), 87-92.
    [3] A. W. Goodman, On uniformly starlike functions, J. Math. Anal. Appl., 155 (1991), 364-370.
    [4] S. Kanas and A. Wiśniowska, Conic regions and k-uniform convexity, J. Comput. Appl. Math., 105 (1999), 327-336.
    [5] S. Kanas and A. Wiśniowska, Conic domains and starlike functions, Rev. Roumaine Math. Pures Appl., 45 (2000), 647-657.
    [6] D. W. Minda, A unified treatment of some special classes of univalent functions, Proceedings of the conference on complex analysis, Conf. Proc. Lecture Notes Anal. , International Press, Massachusetts, 1994, 157-169.
    [7] K. I. Noor and N. Khan, Some convolution properties of a subclass of p-valent functions, Maejo Int. J. Sci. Technol., 9 (2015), 181-192.
    [8] K. I. Noor, Q. Z. Ahmad and M. A. Noor, On some subclasses of analytic functions defined by fractional derivative in the conic regions, Appl. Math. Inf. Sci., 9 (2015), 819-824.
    [9] K. I. Noor, J. Sokol and Q. Z. Ahmad, Applications of conic type regions to subclasses of meromorphic univalent functions with respect to symmetric points, RACSAM, 2016, 1-14.
    [10] M. Nunokawa, S. Hussain, N. Khan and Q. Z. Ahmad, A subclass of analytic functions related with conic domain, J. Clas. Anal., 9 (2016), 137-149.
    [11] S. Ozaki, On the theory of multivalent functions, Sci. Rep. Tokyo Bunrika Daigaku A., 40 (1935), 167-188.
    [12] S. Ponnusamy and V. Singh, Convolution properties of some classes of analytic functions, J. Math. Sci., 89 (1998), 1008-1020.
    [13] W. Rogosinski and G. Szego, Uber die abschimlte von potenzreihen die in ernein kreise beschrankt bleiben. Math. Z., 28 (1928), 73-94.
    [14] F. Ronning, On starlike functions associated with parabolic regions, Ann. Univ. Mariae Curie-Sklodowska, Sect A., 45 (1991), 117-122.
    [15] R. Singh and S. Singh, Convolution properties of a class of starlike functions, Proc.Amer. Math. Soc., 106 (1989), 145-152.
  • Reader Comments
  • © 2017 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
通讯作者: 陈斌, bchen63@163.com
  • 1. 

    沈阳化工大学材料科学与工程学院 沈阳 110142

  1. 本站搜索
  2. 百度学术搜索
  3. 万方数据库搜索
  4. CNKI搜索

Metrics

Article views(4361) PDF downloads(1181) Cited by(7)

Article outline

/

DownLoad:  Full-Size Img  PowerPoint
Return
Return

Catalog